Journal article
Diffusion on the Scaling Limit of the Critical Percolation Cluster in the Diamond Hierarchical Lattice
- Abstract:
-
We construct critical percolation clusters on the diamond hierarchical lattice and show that the scaling limit is a graph directed random recursive fractal. A Dirichlet form can be constructed on the limit set and we consider the properties of the associated Laplace operator and diffusion process. In particular we contrast and compare the behaviour of the high frequency asymptotics of the spectrum and the short time behaviour of the on-diagonal heat kernel for the percolation clusters and for...
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- Publication status:
- Published
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Bibliographic Details
- Journal:
- COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Volume:
- 295
- Issue:
- 1
- Pages:
- 29-69
- Publication date:
- 2010-04-01
- DOI:
- EISSN:
-
1432-0916
- ISSN:
-
0010-3616
- Source identifiers:
-
48968
Item Description
- Language:
- English
- Pubs id:
-
pubs:48968
- UUID:
-
uuid:b6374cd3-aec5-47a0-8c0a-24d9c93d3453
- Local pid:
- pubs:48968
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2010
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